Well! They say around here that this type of situation or context is "conchita de mango".
The facts are there so, it is not about going around the issue from other angles, the fraction in this case is the best option, read well the best, not the only one, since for this mental exercise we are talking about hypotheticals.
So, it is a question of the nature of the individual and how much he is informed, someone with skills for trade definitely makes the investment profitable where he puts his money, on the other hand a neophyte who only sees the shine of the whole, that is, the absolute value ignores the portions.
From my point of view, your idea is very misleading and even naive. That is, we fall into the idea of; "what weighs more a kilo of feather or a kilo of gold". And even more so when you polarize the idea to "the currency does not matter".
but...
Finally, it is a good educational exercise in learning the non-decisions that must be made in the investment process.
